Continuing mobius strip theory idea

It does seem a shame if the previously discussed notion of mobius strip theory, as a modification of string theory, remains untenable. Perhaps some 'mobiusness' can still be adopted into the logic of string theory; it could serve as a visualizable explanatory model of one-handedness. Thoughts anyone?

From post #3 by Mike2 (overstrike) “The reason Mobius strips are disallowed is because in the process of twisting, the surface of the world-sheet ends up reversing the time dimension. And at some portion of this Mobius surface the sheet represents infinite speeds, the sheet having some increase in space dimension with no corresponding time movement.”https://www.physicsforums.com/showthread.php?t=9399